A machine fills milk into ml packages. It is suspected that the machine is not working correctly and that the amount of milk filled differs from the setpoint . A sample of packages filled by the machine are collected. The sample mean is equal to and the sample variance is equal to .
Test the hypothesis that the amount filled corresponds on average to the setpoint. What is the value of the t-test statistic?
The t-test statistic is calculated by: The t-test statistic is thus equal to .